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In an article in the Journal of Management, Joseph Martocchio studied and estimated the costs of...

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Basic Math

In an article in the Journal of Management, Joseph Martocchiostudied and estimated the costs of employee absences. Assume aninfinite population. The mean amount of paid time lost during athree-month period was 1.0 day per employee with a standarddeviation of 1.4 days. The mean amount of unpaid time lost during athree month period was 1.2 days per employee with a standarddeviation of 1.6 days. Suppose we randomly select a sample of 100blue-collar workers.

  1. What is the probability that the average amount ofpaid time lost during a three-month period for the 100 blue-collarworkers will exceed 1.5 days?
  1. What is the probability that the average amount ofunpaid time lost during a three-month period for the 100blue-collar workers will be between 1.4 and 1.5 days?Please give a precise explanation, as if you are tellingsomeone who doesn’t know anything about statistics, for thereasoning behind your answer?
  1. How large a random sample is needed to construct a 95percent confidence interval for the mean for population paid timelost with a margin of error equal to 0.1? Please give aprecise explanation, as if you are telling someone who doesn't knowanything about statistics for the reasoning behind youranswer.

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